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SRS Standard pair #487085282
details
property
value
status
complete
benchmark
size-12-alpha-2-num-1.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n151.star.cs.uiowa.edu
space
Waldmann_07_size12
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
43.3652 seconds
cpu usage
169.84
user time
166.873
system time
2.96681
max virtual memory
1.1439636E7
max residence set size
131564.0
stage attributes
key
value
starexec-result
YES
output
YES Problem: a(a(x1)) -> x1 a(a(b(x1))) -> b(a(b(a(a(x1))))) b(b(x1)) -> x1 Proof: DP Processor: DPs: a#(a(b(x1))) -> a#(x1) a#(a(b(x1))) -> a#(a(x1)) a#(a(b(x1))) -> b#(a(a(x1))) a#(a(b(x1))) -> a#(b(a(a(x1)))) a#(a(b(x1))) -> b#(a(b(a(a(x1))))) TRS: a(a(x1)) -> x1 a(a(b(x1))) -> b(a(b(a(a(x1))))) b(b(x1)) -> x1 TDG Processor: DPs: a#(a(b(x1))) -> a#(x1) a#(a(b(x1))) -> a#(a(x1)) a#(a(b(x1))) -> b#(a(a(x1))) a#(a(b(x1))) -> a#(b(a(a(x1)))) a#(a(b(x1))) -> b#(a(b(a(a(x1))))) TRS: a(a(x1)) -> x1 a(a(b(x1))) -> b(a(b(a(a(x1))))) b(b(x1)) -> x1 graph: a#(a(b(x1))) -> a#(b(a(a(x1)))) -> a#(a(b(x1))) -> b#(a(b(a(a(x1))))) a#(a(b(x1))) -> a#(b(a(a(x1)))) -> a#(a(b(x1))) -> a#(b(a(a(x1)))) a#(a(b(x1))) -> a#(b(a(a(x1)))) -> a#(a(b(x1))) -> b#(a(a(x1))) a#(a(b(x1))) -> a#(b(a(a(x1)))) -> a#(a(b(x1))) -> a#(a(x1)) a#(a(b(x1))) -> a#(b(a(a(x1)))) -> a#(a(b(x1))) -> a#(x1) a#(a(b(x1))) -> a#(a(x1)) -> a#(a(b(x1))) -> b#(a(b(a(a(x1))))) a#(a(b(x1))) -> a#(a(x1)) -> a#(a(b(x1))) -> a#(b(a(a(x1)))) a#(a(b(x1))) -> a#(a(x1)) -> a#(a(b(x1))) -> b#(a(a(x1))) a#(a(b(x1))) -> a#(a(x1)) -> a#(a(b(x1))) -> a#(a(x1)) a#(a(b(x1))) -> a#(a(x1)) -> a#(a(b(x1))) -> a#(x1) a#(a(b(x1))) -> a#(x1) -> a#(a(b(x1))) -> b#(a(b(a(a(x1))))) a#(a(b(x1))) -> a#(x1) -> a#(a(b(x1))) -> a#(b(a(a(x1)))) a#(a(b(x1))) -> a#(x1) -> a#(a(b(x1))) -> b#(a(a(x1))) a#(a(b(x1))) -> a#(x1) -> a#(a(b(x1))) -> a#(a(x1)) a#(a(b(x1))) -> a#(x1) -> a#(a(b(x1))) -> a#(x1) SCC Processor: #sccs: 1 #rules: 3 #arcs: 15/25 DPs: a#(a(b(x1))) -> a#(b(a(a(x1)))) a#(a(b(x1))) -> a#(x1) a#(a(b(x1))) -> a#(a(x1)) TRS: a(a(x1)) -> x1 a(a(b(x1))) -> b(a(b(a(a(x1))))) b(b(x1)) -> x1 Arctic Interpretation Processor: dimension: 2 usable rules: a(a(x1)) -> x1 a(a(b(x1))) -> b(a(b(a(a(x1))))) b(b(x1)) -> x1 interpretation: [-& 0 ] [0] [b](x0) = [0 3 ]x0 + [3], [-& 0 ] [0] [a](x0) = [0 -&]x0 + [0], [a#](x0) = [2 1]x0 + [0] orientation: a#(a(b(x1))) = [2 5]x1 + [5] >= [1 4]x1 + [4] = a#(b(a(a(x1)))) a#(a(b(x1))) = [2 5]x1 + [5] >= [2 1]x1 + [0] = a#(x1) a#(a(b(x1))) = [2 5]x1 + [5] >= [1 2]x1 + [2] = a#(a(x1)) [0] a(a(x1)) = x1 + [0] >= x1 = x1 [-& 0 ] [0] [-& 0 ] [0] a(a(b(x1))) = [0 3 ]x1 + [3] >= [0 3 ]x1 + [3] = b(a(b(a(a(x1))))) [0 3] [3] b(b(x1)) = [3 6]x1 + [6] >= x1 = x1 problem: DPs: a#(a(b(x1))) -> a#(x1) TRS: a(a(x1)) -> x1 a(a(b(x1))) -> b(a(b(a(a(x1))))) b(b(x1)) -> x1 Restore Modifier: DPs: a#(a(b(x1))) -> a#(x1) TRS:
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